3. Use Stokes' theorem to evaluate the integral F. dr where C is the curve given by the intersection of the cylinder x² + y² = 1 and the plane x + y + z = 1, oriented counterclockwise when viewed from above, and F(x, y, z) = -yi + xyj + zk. a) π b) 2π c) d) 0 e) None of the above
3. Use Stokes' theorem to evaluate the integral F. dr where C is the curve given by the intersection of the cylinder x² + y² = 1 and the plane x + y + z = 1, oriented counterclockwise when viewed from above, and F(x, y, z) = -yi + xyj + zk. a) π b) 2π c) d) 0 e) None of the above
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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